# algebra!

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The number 1003003001 is the product of N (not necessarily distinct) primes. What is the value of N?

• algebra! -

1331 = 11^3
1030301 = 101^3
1003003001 = 1001^3

1001 = 7*11*13

So, we have 7^3 * 11^3 * 13^3 or 9 primes

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